ADDITION SCOPE & SEQUENCE FOR AUSVELS CURRICULUM/ STEPPING STONES AusVELS Level and related Growth Point Foundation GP 2 count on GP 2 count on Stepping Stones Modules linked to AusVELS content descriptions Represent practical situations to model addition (Stepping Stones includes work with addition facts) Whole class Lessons: 10.3, 10.4 11.1, 11.2 15.1, 15.2 16.2, 16.3, 16.4 Small group 10.3.1, 10.3.2, 10.4.1. 10.4.2 11.1.1, 11.1.2, 11.2,1, 11.2.2 16.1.1, 16.1.2, 16.2.1, 16.2.2, 16.3.1, 16.3.2, 16.4.1, 16.4.2 1 2011 Version 2 CEO Ballarat Mathedology 1.Teaching The Count – On Strategy For Addition Number facts 2. An Introduction To Teaching Addition Number Facts 3. Using Language Stages To develop Addition Concepts Big Books Slate Resources Fundamentals The Race Is On Basic Addition facts Flare Number board Number track Dominoes Pan balance ADDITION SCOPE & SEQUENCE FOR AUSVELS CURRICULUM/ STEPPING STONES AusVELS Level Stepping Stones Modules and related linked to AusVELS Growth Point content descriptions Level 1 Represent and solve simple addition and subtraction problems using a range of strategies including counting on, partitioning and rearranging parts. Lesson: 4.5, 4.6, 4.7, 4.8 Open task 4.2 Problem solving 1.1, 2.1, 3.1, 4.2 GP 2 count on Application to money Lesson: 6.1, 6.2, 6.3, 6.4, 6.5, 7.3, 7.4 Open task 6.3 Problem solving 5.1, 6.1, 7.1, 8.2 GP 4 adding 10 GP 4 & 5 Lesson 9.3, 10.1, 10.2, 10.3, 10.4, 10.5 12.4, 12.5 Open task 10.2, 10.3, 11.1 Problem solving 9.1, 10.2, 11.1, 12.1 GP 5 Lesson 13.5, 13.6, 13.7 14.1, 14.2, 14.3, 14.4, 14.5 15.2, 15.3 Problem Solving 13.1, 13.2, 14.1, 14.2, 15.1 2 2011 Version 2 CEO Ballarat Mathedology Big Books 1. Using a Hands – On approach to Develop Mental Strategies for Addition 2. Using Active Problems to Relate Addition and subtraction and Introduce Functions 3. Teaching the Count – On Strategy for Addition Number Facts 4. Teaching the Use – Doubles Strategy for Addition Number Facts 5. Teaching the Bridge – to 10 Strategy for Addition Number Facts 6. An Introduction to Teaching Addition Number Facts 7. Teaching the Think – Addition Strategy for Subtraction Number Facts 8. Using Static Problems to Relate Addition and Subtraction and Introduce Equality 9. Using Language Stages To develop Addition Concepts Mice, Mice Everywhere Addtron Slate Resources Fundamentals Fill Five (basic addition facts) Total ten (basic addition facts) Add ‘em Up (basic addition facts) Double Up (basic addition facts) Slides and ladders (adding one – and two – digit numbers) Dot Numbers (basic addition facts) Dots and More (basic addition facts) On Track (one more or one less) Total twenty (combinations of Twenty) Add On (basic addition facts) Roll and Count (basic addition facts) Count On (basic addition facts) Fill Up Five (basic addition facts) Over Fifty (adding two – digit numbers) Match A total (adding two digit multiples of ten) Make 20(combinations of twenty) Double Fun (adding two – digit numbers) Three Sum (three one – digit addends) Flare Number board Number track Numberline Dominoes Pan balance ADDITION SCOPE & SEQUENCE FOR AUSVELS CURRICULUM/ STEPPING STONES AusVELS Level and related Growth Point Level 2 GP 3 GP 4 /5 fact families GP 5 doubles and near doubles Stepping Stones Modules Mathedology linked to AusVELS content descriptions Big Books Explore the connection between addition and subtraction Lessons: 1.3, 1.4, 1.5 3.1, 3.2, 3.3, 3.4, 3.5 4.4, 4.5, 4.6 7.4 10.6, 10.7, 10.8 14.1, 14.2, 14.3 Bears On Buses Solve simple addition and subtraction problems using a range of efficient mental and written strategies Lessons: 1.3, 1.5 3.1, 3.2, 3.3, 3.4, 3.5 4.4, 4.5, 4.6 Open Tasks 1.2 Problem Solving 1.1, 2.1, 3.1, 4.2 GP 4 10s facts Lessons: 5.2, 5.3 6.1, 6.2, 6.3, 6.8 7.1, 7.2, 7.3, 7.4 8.2 Open Tasks 5.1, Problem Solving 6.1, 6.2, 7.1, 8.2 Lessons: 3 2011 Version 2 CEO Ballarat 1. Using a Hands – On approach to Develop Mental Strategies for Addition 2. Using Active Problems to Relate Addition and subtraction and Introduce Functions 3. Teaching the Count – On Strategy for Addition Number Facts 4. Teaching the Use – Doubles Strategy for Addition Number Facts 5. Teaching the Bridge – to 10 Strategy for Addition Number Facts 6. An Introduction to Teaching Addition Number Facts 7. Teaching the Think – Addition Strategy for Subtraction Number Facts 8. Using Static Problems to Relate Addition and Subtraction and Introduce Equality Slate Resources Fundamentals Double Trouble (basic addition facts) First To Forty ( adding one – and two digit numbers Make It True ( Basic addition facts) Add To It ( adding two – digit multiples of ten) Adding To 100 (adding two – digit numbers) On Board (adding two – digit numbers) On The Edge (adding two – digit numbers) Back On Board (adding two – digit numbers) Take or Add (two – digit numbers) Split To Add (adding two – digit numbers) Split Strategies (adding one & two digit numbers) Splitting Fun (adding two – digit numbers) Flare Number Board Number Track Number Line Dominoes Pan Balance GP 5 GP 4 & 5 2 digit numbers 10.1, 10.2, 10.3, 10.6, 10.7, 10.8 Problem Solving 9.1, 9.2 10.1, 11.1, 11.2, 12.1 Lessons: 13.1, 13.2, 13.3, 13.4, 13.5, 13.6 14.1, 14.2, 14.3, 14.6, 14.7, 14.8 Open tasks 16.2 Problem Solving 13.1, 13.2 14.2 Solve Problems by using number sentences for addition or subtraction Lessons: 1.1, 1.2, 1.3, 4.4 6.1, 6.2, 6.3 7.4 8.2 10.1, 10.2, 10.3 4 2011 Version 2 CEO Ballarat ADDITION SCOPE & SEQUENCE FOR AUSVELS CURRICULUM/ STEPPING STONES AusVels Level and related Growth Point Level 3 GP 4 fact families GP 4 adding 10 GP 6 GPs 3 ,4 & 5 GPs 5 & 6 11.3 introduction of algorithm for adding three 3 digit numbers GP 4 commutativity Stepping Stones Modules linked to AusVELS content descriptions Mathedology Recognise and explain the connection between addition and subtraction Lessons: 1.3, 1.4, 1.5, 1.6, 3.6, 4.7 5.1, 6.6, 6.7, 6.8 16.1, 16.2, 16.3 Recall addition facts for single – digit numbers and related subtraction facts to develop increasingly efficient mental strategies for computation Lessons 1.3, 1.4, 1.5, 1.6 2.1, 2.2, 2.3, 2.4, 3.1, 3.2, 3.3, 3.6, 3.7, 3.8, 4.6, 4.7, 4.8 5.1, 5.2, 6.1, 6.2, 6.3, 6.5, 6.6, 6.7, 6.8 9.4, 9.6, 9.7, 9.8 10.6, 10.7, 10.8 11.1, 11.2, 11.3, 11.4, 11.5, 11.6, 12.5 13.6,13.7,13.8, 14.9, 16.1, 16.2, 16.3, 16.4, 16.5, 16.6 Represent money values in multiple ways and count the change required for simple transactions to the nearest five cents. Lessons: 1.4, 2.2, 2.3, 10.5, 10.6, 11.2 16.4, 16.5, 16.6 Describe, continue and create number patterns resulting from performing addition or subtraction Lessons: 2.1, 8.4, 13.6, 13.8 1. Using a Hands – On approach to Develop Mental Strategies for Addition 2. Using Active Problems to Relate Addition and subtraction and Introduce Functions 3. Teaching the Think – Addition Strategy for Subtraction Number Facts 4. Using Static Problems to Relate Addition and Subtraction and Introduce Equality 5 2011 Version 2 CEO Ballarat Big Books Slate Resources Fundamentals 1. Double and Add (adding two – digit numbers) 2. In the 90s (adding two – digit numbers) 3. Using Doubles (adding near doubles) 4. Adding Tens 9adding two – digit multiples of five and ten 5. Add the tens (adding two digit numbers) 6. Add Three (adding three single – digit addends) 7. Adding On (adding two – digit numbers) 8. Addition Fun (adding three – digit numbers) Flare Number board Number track Numberline Dominoes Pan balance ADDITION SCOPE & SEQUENCE FOR AUSVELS CURRICULUM/ STEPPING STONES AusVELS Level Stepping Stones Modules and related linked to AusVELS Growth Point content descriptions Level 4 GP 6 numberlines GP 6 mental strategies Develop efficient mental and written strategies and use appropriate digital technologies for the processes Lessons 1.6, 1.7, 1.8, 3.6 6.7, 6.8 , 8.5, 11.1, 11.2, 11.3, 11.4 15.2, 16.4, 16.5, 16.6, 16.7, 16.8 Solve problems involving purchases and the calculation of change to the nearest five cents with and without digital technologies Lessons 6.7, 11.3, 11.4, 16.4, 16.5, 16.6, 16.7, 16.8 Use equivalent number sentences involving addition and subtraction to find unknown quantities Lessons 1.8, 3.6, 3.8 6.7, 6.8, 8.5 11.1, 11.2 6 2011 Version 2 CEO Ballarat Mathedology Big Books Slate Resources Fundamentals 1. Make 100 (adding 1 & 2 digit numbers) 2. This or That (using multiple operations) 3. Jump On )adding 2 & 3 digit numbers) 4. Just Add (adding 3 digit numbers) Flare Number board Number line Pan Balance ADDITION SCOPE & SEQUENCE FOR AUSVELS CURRICULUM/ STEPPING STONES AusVELS Level and related Growth Point Level 5 GP 6 Order of operations Decimals Fractions Stepping Stones Modules linked to AusVELS content descriptions Use efficient mental and written strategies and apply appropriate digital technologies to solve problems Lessons: 4.1, 8.1, 8.2 16.6, 16.7, 16.8 Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator (Stepping Stones goes beyond by including the addition & subtraction of tenths and hundredths & the addition & subtraction of common fractions with related denominators) Lessons: 4.2, 4.3, 4.7, 4.8 8.7, 8.8 11.4, 11.5, 11.6 14.1, 14.2, 14.3, 14.4 Describe, continue and create patterns with fractions, decimals and whole numbers resulting from addition & subtraction Lessons: 2,1, 2.2 6.1, 6.6, 6.7, 6.8 7 2011 Version 2 CEO Ballarat Mathedology Big Books Slate Resources Fundamentals 1. First To One (addition and subtraction with decimals) 2. First To two (addition and subtraction with decimals) 3. First To Zero (addition and subtraction with decimals) 4. Operation Order (Order of operations) Flare Number board Numberline Pan balance ADDITION SCOPE & SEQUENCE FOR AUSVELS CURRICULUM/ STEPPING STONES AusVELS Level Stepping Stones Modules and related linked to AusVELS Growth Point content descriptions Level 6 Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all for operations with whole numbers. Lessons 1.6, 2.1, 8.7 13.1, 13.2, 13.3, 13.4, 13.5 16.5 Solve problems involving addition and subtraction of fractions with the same or related denominators (Stepping Stones includes unrelated denominators) 6.1, 6.2, 6.3, 6.4, 6.5 14.2, 14.3 Add & subtract decimals with and without digital technologies and use estimation and rounding to check the reasonableness of answers 2.2, 2.3, 2.4 8.5, 8.6, 8.8 8 2011 Version 2 CEO Ballarat Mathedology Big Books Slate Resources Fundamentals 1. Tricky Totals ( adding 3 digit numbers) 2. Add To Win (adding 3 digit numbers) 3. Make One ( Adding common fractions) Flare Numberboard Numberline Pan balance RICH TASKS FOR ADDITION SCOPE & SEQUENCE Level F Sine Tasks GP 1 Sine Tasks GP 2 Potato Stamping Match Box Counting Add Them Up Dice Bingo Dot Plate Match Up Counter Cards Pair Up Telephone High Soccer Scores Twenty Wins Count On Hands-on ICT Teaching Guidelines in Number Add and subtract p11-12 Learning Objects (FUSE or Scootle) Number partner Teach whole numbers for understanding 13 Count all to add two collections Mental computation: a strategies approach Module 2 Basic facts (Addition, Subtraction), Developing computation p14,15 Interactive Learning Subitising, Twenty-frames, Add to 20, Whole number operations Developmental Continuum 1.0 Counting groups of up to 20 objects Activity 1 Verbal counting sequence Activity 2 Efficient counting strategies Activity 3 Hidden collections 1.0 Making better estimates Activity 1 How many marbles? Activity 2 Sharing strategies for checking estimates Activity 3 Estimating calculations Assessment for common misunderstandings Level 1: Trusting the count Subitising tool - with cards sets 1 to 5 Mental objects tool - with mental objects card People count 4 Basic addition and subtraction Using Tens Frames to Build the Addition and Subtractions Facts to Ten Lollies Do it with dominoes 1 Counting to Find Sums Do it with dominoes 2 Hopping on the Number Line Do it with dominoes 3 Exploring Adding with Sets Using Tens Frames to Build the Addition and Subtraction Facts to Ten 9 2011 Version 2 CEO Ballarat Whole-class investigations Units of work (FUSE or Scootle) Adding and subtracting, Exploring addition and subtraction Maths 300 lessons Around Our Neighbourhood, Calculator Walk, Cars in a Garage, Chart Strategies, Domino Trails, Farmyard Friends Jumping Joey, Nine and Over CURRICULUM AT WORK TASKS REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: Money cards REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: Investigation—Our families (including a learning technology variation) REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: Seed search (including a learning technology variation) REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: Maths is all around us REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: Tens Frames REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: Choosing, creating and recording REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: I did it my way REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: Teddy bears’ picnic REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: A walk around the playground REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: Counting group things 10 2011 Version 2 CEO Ballarat Level 1 Sine Tasks GP 2 GP 2 application to money Sine Tasks GP 4 Sine Tasks GP 5 Counter Cards Pair Up Telephone High Soccer Scores Twenty Wins Count On Butterflies Tens Frame Match Up Draw a Game Card Add Them up Connect Four Again Hands-on ICT Teaching Guidelines in Number Add & subtract p11-12, Skip counting p15-18, Addition and two types of subtraction p20-23, Ordering numbers to 200 p35-36, Written computation p40-43, Numbers to 1000 p53-55, Place value to 1000 p57-58 Learning Objects (FUSE or Scootle) Number trains, Number partner, Wishball REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: Market days Number—Mental computation and estimation MENTAL COMPUTATION STRATEGIES: Market game MENTAL COMPUTATION STRATEGIES: Mental strategies MENTAL COMPUTATION STRATEGIES: Which strategy is most appropriate? MENTAL COMPUTATION STRATEGIES: Card capers MENTAL COMPUTATION STRATEGIES: Compatible numbers Mathematics Task Centre 4 Window Frames, 7 Consecutive Sums, 9 Row Points, 15 Domino Trails, 17 Truth Tiles 2, 30 Truth Tiles, 35 Crosses, 39 Criss-Cross Numbers, 45 Eric The Sheep, 52 Which Floor, 56 Challenge, 75 What's It Worth? 99 How Many Beans? 120 Nim, 127 Highest Number 1, 211 Soft Drink Crates, 218 Guessing Colours Game Mental computation: a strategies approach: Developing computation p14,15, 16, 11 2011 Version 2 CEO Ballarat Adding Nine Fact Families Chonks Visit Earth How will you solve it? Dice Throw Interactive Learning Adding to 20, Addition facts, ,Backwards adding Adding single digits, Skip count to 140, Grid patterns, Add with diagrams, Change, Whole number operations 4.5 Learning about Number Relationships and Properties of Numbers Using Calculators and Hundred Boards 4.6 Developing Estimation Strategies by Making Connections among Number, Geometry, Measurement, and Data Concept Do It with Dominoes Frogs on a Log: Finding One More than a Number A range of Number Activities for students: Test the toad - basic addition Lesson 1 - Finding Addition Patterns Finding Sums to Six Balancing Act- Preparation for writing equations Sum Search Using Tens Frames to Build the Addition and Subtraction Facts to Ten That's Odd Maths 300 lessons Around Our Neighbourhood, Calculator Walk, Cars in a Garage, Chart Strategies, Domino Trails, Farmyard Friends, Jumping Joey, Nine and Over, Counting Machines, Football Ladder Teach whole numbers for understanding 14 Count on to add from any start Developmental Continuum 17-24, 29-38 Module 2 Basic facts (Addition, Subtraction) Module 4 Two-digit whole numbers Snake line and sewing tape MAV-money Paper abacus Beetle Wheels - skip counting Take Away Comparing Connecting Cubes Lesson 1 Counting Back and Counting on Lesson 2 Comparing Sets Lesson 3 Using the Number Line to Compare Lesson 4 Balancing Lesson 5 Fact Families Lesson 6 Comparing Connecting Cubes Subtraction Game Subtraction Facts Five Models of Subtraction: Lesson 1 Counting Back and Counting On Five Models of Subtraction: Lesson 2 Taking Away Sets Five Models of Subtraction: Lesson 3 Hopping Backward on the Number Line Finding the Balance Finding Fact Families Practice Makes Perfect Looking Back and Moving Forward 1.0 Counting groups of up to 20 objects Activity 1 Verbal counting sequence Activity 2 Efficient counting strategies Activity 3 Hidden collections 1.5 Counting on Activity 1 Teddies in the buses Activity 2 Counters in the bag and in the hand 1.5 Counting on- More About 1.5 Complements to Ten Activity 1 Make ten Activity 2 Using tens frames Activity 3 Hiding dots Activity 4 Find your partner| Activity 5 Bead frame patterns 1.5 Using a hundreds chart for mental calculation Activity 1 Guess my number Activity 2 Number neighbours Activity 3 Missing numbers Activity 4 Challenges 1.75 Fact families (Addition and subtraction) Activity 1 Fact families using materials Activity 2 Domino fact families Activity 3 Dice fact families 2.0 Skip counting Activity 1 Counting games Activity 2 Whisper count Activity 3 How far can you go? Activity 4 Using the hundreds grid for counting Assessment for common misunderstandings Level 1: Trusting the count Subitising tool - with cards sets 1 to 5 Mental objects tool - with mental objects 12 2011 Version 2 CEO Ballarat card People count 5 Place value, addition and subtraction Whole-class investigations Maths300 Take away of the day Units of work (FUSE or Scootle) Adding and subtracting, Exploring addition and subtraction Mathematics Assessment for Learning: Rich tasks and work samples 3 Peeking dots, 5 Animal legs, 6 Family ages, 7 Adding the corners, 8 Dot cards, 9 Lucky dip, CURRICULUM AT WORK TASKS Number—Computation and applying number THE FOUR PROCESSES IN CONTEXT: Gummy numbers THE FOUR PROCESSES IN CONTEXT: Take one, take two THE FOUR PROCESSES IN CONTEXT: Relationships between operations THE FOUR PROCESSES IN CONTEXT: Party time THE FOUR PROCESSES IN CONTEXT: Minibeasts THE FOUR PROCESSES IN CONTEXT: Dominoes THE FOUR PROCESSES IN CONTEXT: Buses and trains REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: Party plans REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: In the orchard REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: City car park REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: Magic bean toss REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: Canteen counting 13 2011 Version 2 CEO Ballarat Level 2 Sine Tasks GP 3 Subtraction Triplets Connect Three Mine Shaft Drop Sine Tasks GP 4 Butterflies Tens Frame Match Up Draw a Game Card Add Them up Connect Four Again Sine Tasks GP 5 Adding Nine Fact Families Chonks Visit Earth How will you solve it? Dice Throw Hands-on ICT Teaching Guidelines in Number Take-away and difference p22-23, p42-43 Learning Objects (FUSE or Scootle) Number partner, Take away bars, Difference bars Interactive Learning Add with diagrams, Subtract with diagrams, Subtract any from 100, Skip count back (140), Skip count from 9999, Odometer, Subtract by adding, Three circles puzzle, Checking change, Change, Whole number operations Teach whole numbers for understanding 16 Basic strategies for adding and subtracting 17 Derived strategies for adding and subtracting Mathematics Task Centre 4 Window Frames, 7 Consecutive Sums, 9 Row Points, 15 Domino Trails, 17 Truth Tiles 2, 30 Truth Tiles, 35 Crosses, 39 Criss-Cross Numbers, 45 Eric The Sheep, 52 Which Floor, 56 Challenge, 120 Nim, 127 Highest Number 1, 211 Soft Drink Crates, 218 Guessing Colours Game Snake line and sewing tape MAV-money Paper abacus Cornerstones in Number: Place value ages 6-9 Adding and subtracting tens and hundreds (p102-112) Addition and subtraction (p48-58) Mental computation: a strategies approach: Developing computation p17-24, 29-38 14 2011 Version 2 CEO Ballarat Continuum 1.5 Counting on Activity 1 Teddies in the buses Activity 2 Counters in the bag and in the hand 1.5 Complements to Ten part 2 Activity 1 Make ten Activity 2 How many more to make ten Activity 3 Hidden dots Activity 4 Find your partner Activity 5 Bead frame patterns 1.5 Using a hundreds chart for mental calculation Activity 1 Guess my number Activity 2 Number neighbours Activity 3 Missing numbers Activity 4 Challenges 1.75 Fact families (Addition and Module 2 Basic facts (Addition, Subtraction) Module 4 Two-digit whole numbers subtraction) Activity 1 Fact families using materials Activity 2 Domino fact families Activity 3 Dice fact families 2.0 Skip counting Activity 1 Counting games Activity 2 Whisper count Activity 3 How far can you go? Activity 4 Using the hundreds grid for counting People count 5 Place value, addition and subtraction Whole-class investigations RIME 5&6 Words add up Units of work (FUSE or Scootle) Adding and subtracting Exploring addition and subtraction Mathematics Assessment for Learning: Rich tasks and work samples 3 Peeking dots, 5 Animal legs, 6 Family ages, 7 Adding the corners, 8 Dot cards, 9 Lucky dip, Maths 300 lessons Around Our Neighbourhood, Calculator Walk, Cars in a Garage, Chart Strategies, Domino Trails, Farmyard Friends Jumping Joey, Nine and Over, Counting Machines, Football Ladder CURRICULUM AT WORK TASKS Number—Computation and applying number THE FOUR PROCESSES IN CONTEXT: Gummy numbers THE FOUR PROCESSES IN CONTEXT: Take one, take two THE FOUR PROCESSES IN CONTEXT: Relationships between operations 15 2011 Version 2 CEO Ballarat THE FOUR PROCESSES IN CONTEXT: Party time THE FOUR PROCESSES IN CONTEXT: Minibeasts THE FOUR PROCESSES IN CONTEXT: Dominoes THE FOUR PROCESSES IN CONTEXT: Buses and trains REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: Party plans REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: In the orchard REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: City car park REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: Magic bean toss REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: Canteen counting REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: Market days Number—Mental computation and estimation MENTAL COMPUTATION STRATEGIES: Market game MENTAL COMPUTATION STRATEGIES: Mental strategies MENTAL COMPUTATION STRATEGIES: Which strategy is most appropriate? MENTAL COMPUTATION STRATEGIES: Card capers MENTAL COMPUTATION STRATEGIES: Compatible numbers REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: Market days Number—Mental computation and estimation MENTAL COMPUTATION STRATEGIES: Market game MENTAL COMPUTATION STRATEGIES: Mental strategies MENTAL COMPUTATION STRATEGIES: Which strategy is most appropriate? MENTAL COMPUTATION STRATEGIES: Card capers MENTAL COMPUTATION STRATEGIES: Compatible numbers 16 2011 Version 2 CEO Ballarat Level 3 Sine Tasks GP 3 Subtraction Triplets Connect Three Mine Shaft Drop Sine Tasks GP 4 Butterflies Tens Frame Match Up Draw a Game Card Add Them up Connect Four Again Sine Tasks GP 5 Adding Nine Fact Families Chonks Visit Earth How will you solve it? Dice Throw Sine Tasks GP 6 Top Table Three Digit Throw I Went Shopping and I Bought Race to the Edge Heads High, Tails Low CURRICULUM AT WORK TASKS Computation and applying number THE FOUR PROCESSES IN CONTEXT: A classroom shop THE FOUR PROCESSES IN CONTEXT: Alexander who used to be rich last Sunday THE FOUR PROCESSESS IN CONTEXT: Excursion costs THE FOUR PROCESSESS IN CONTEXT: Sticky keys THE FOUR PROCESSESS IN CONTEXT: Everyday situations THE FOUR PROCESSESS IN CONTEXT: Money discounts THE FOUR PROCESSESS IN CONTEXT: Dice numbers THE FOUR PROCESSES IN CONTEXT: What is the total height? THE FOUR PROCESSES IN CONTEXT: How much will it cost? THE FOUR PROCESSESS IN CONTEXT: Number magic (including learning technology) REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: Create a problem (including learning technology) REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: Practical situations REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: The school canteen (including a learning technology variation) REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: What is your name worth? REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: Storybook travel REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: Toll charges REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: Making deposits and withdrawals (including a learning technology variation) REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: Distance signposts (including a learning technology variation) REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: Travel agent (including a learning technology variation) PRACTICAL USE OF DECIMALS, COMMON FRACTIONS AND PERCENTAGES: Prices at the canteen PRACTICAL USE OF DECIMALS, COMMON FRACTIONS AND PERCENTAGES: Catalogues and advertisements PRACTICAL USE OF DECIMALS, COMMON FRACTIONS AND PERCENTAGES: Grocery bills PRACTICAL USE OF DECIMALS, COMMON FRACTIONS AND PERCENTAGES: Feeding the family pet Number—Mental computation and estimation MENTAL COMPUTATION STRATEGIES: Real-life problems MENTAL COMPUTATION STRATEGIES: Addition square MENTAL COMPUTATION STRATEGIES: Simplifying numbers 17 2011 Version 2 CEO Ballarat MENTAL COMPUTATION STRATEGIES: Compatible numbers ESTIMATION: Calculating dockets ESTIMATION: Dollars Hands-on ICT Teaching Mathematics Task Centre 4 Window Frames, 7 Consecutive Sums, 9 Row Points, 15 Domino Trails, 17 Truth Tiles 2, 30 Truth Tiles, 35 Crosses, 39 Criss-Cross Numbers, 45 Eric The Sheep, 52 Which Floor, 56 Challenge, 120 Nim, 127 Highest Number 1, 211 Soft Drink Crates, 218 Guessing Colours Game Snake line and sewing tape MAV-money Paper abacus Learning Objects (FUSE or Scootle) Part-adder, Number partner, Take-away bars, Difference bars Teach whole numbers for understanding 18 Extending and applying addition and subtraction 19 Subtracting many-digit numbers Developmental Continuum 2.0 Flexible addition and subtraction Activity 1 Choosing which order to add Activity 2 Strengthening visual images for mental computation Activity 3 Games for number fluency Activity 4 Mixing addition and subtraction 2.25 Renaming three-digit whole number Activity 1 Using pop sticks to rename Activity 2 Using MAB to rename Activity 3 Using a number expander to rename Mental computation: a strategies approach: Developing computation p17-24, 29-38 Module 2 Basic facts (Addition, Subtraction) Interactive Learning Adding to 100, Doubling, Add with diagrams, Subtract with diagrams, Subtract any from 100, Subtract by adding, Three circles puzzle, Checking change, Subtract hundreds, Whole number operations People count 5 Place value, addition and subtraction 18 2011 Version 2 CEO Ballarat Whole-class investigations Maths 300 lessons 4-Cube Houses, Counting Machines, Dice Footy, Domino Trails, Dominoes, Farmyard Friends, Feet-uring Mathematics, Greedy Pig, Highest Number, Land of ET, Rectangle Fractions, Rod Mats, Row Points, Tackling Times Tables, Truth Tiles, Truth Tiles 2, Win at the Fair, The Farmer's Puzzle, Eric The Sheep, Spiders and ants, Number charts RIME 5&6 Words add up Units of work (FUSE or Scootle) Patterns and sequences Adding and subtracting Exploring addition and subtraction Mathematics Assessment for Learning: Rich tasks and work samples 3 Peeking dots, 5 Animal legs, 7 Adding the corners, 8 Dot cards, 19 2011 Version 2 CEO Ballarat Level 4 Sine Tasks GP 6 Top Table Three Digit Throw I Went Shopping and I Bought … Race to the Edge Heads High, Tails Low CURRICULUM AT WORK TASKS Computation and applying number THE FOUR PROCESSES IN CONTEXT: A classroom shop THE FOUR PROCESSES IN CONTEXT: Alexander who used to be rich last Sunday THE FOUR PROCESSESS IN CONTEXT: Excursion costs THE FOUR PROCESSESS IN CONTEXT: Sticky keys THE FOUR PROCESSESS IN CONTEXT: Everyday situations THE FOUR PROCESSESS IN CONTEXT: Money discounts THE FOUR PROCESSESS IN CONTEXT: Dice numbers THE FOUR PROCESSES IN CONTEXT: What is the total height? THE FOUR PROCESSES IN CONTEXT: How much will it cost? THE FOUR PROCESSESS IN CONTEXT: Number magic (including learning technology) REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: Create a problem (including learning technology) REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: Practical situations REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: The school canteen (including a learning technology variation) REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: What is your name worth? REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: Storybook travel REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: Toll charges REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: Making deposits and withdrawals (including a learning technology variation) REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: Distance signposts (including a learning technology variation) REPRESENT, CREATE, MODEL AND SOLVE PROBLEMS: Travel agent (including a learning technology variation) PRACTICAL USE OF DECIMALS, COMMON FRACTIONS AND PERCENTAGES: Prices at the canteen PRACTICAL USE OF DECIMALS, COMMON FRACTIONS AND PERCENTAGES: Catalogues and advertisements PRACTICAL USE OF DECIMALS, COMMON FRACTIONS AND PERCENTAGES: Grocery bills PRACTICAL USE OF DECIMALS, COMMON FRACTIONS AND PERCENTAGES: Feeding the family pet Number—Mental computation and estimation MENTAL COMPUTATION STRATEGIES: Real-life problems MENTAL COMPUTATION STRATEGIES: Addition square MENTAL COMPUTATION STRATEGIES: Simplifying numbers MENTAL COMPUTATION STRATEGIES: Compatible numbers ESTIMATION: Calculating dockets ESTIMATION: Dollars 20 2011 Version 2 CEO Ballarat Hands-on ICT Teaching Guidelines in Number Add & subtract p85-87 Learning Objects (FUSE or Scootle) Teach whole numbers for understanding 19 Subtracting many-digit numbers Snake line and sewing tape MAV-money Mathematics Task Centre 4 Window Frames, 7 Consecutive Sums, 9 Row Points, 15 Domino Trails, 17 Truth Tiles 2, 30 Truth Tiles, 35 Crosses, 39 Criss-Cross Numbers, 45 Eric The Sheep, 52 Which Floor, 56 Challenge, 120 Nim, 127 Highest Number 1, 211 Soft Drink Crates, 218 Guessing Colours Game Mental calculation strategies - addition and subtraction (Collection) Interactive Learning Subtract hundreds Developmental Continuum 2.25 Renaming three-digit whole numbers Activity 1 Using pop sticks to rename Activity 2 Using MAB to rename Activity 3 Using a number expander to rename Mental computation: a strategies approach: Module 4 Two-digit whole numbers Building numeracy (George Booker) Addition and subtraction screening tests A and B and interventions People count 5 Place value, addition and subtraction Whole-class investigations Maths 300 lessons 4-Cube Houses, Counting Machines, Dice Footy, Domino Trails, Dominoes, Farmyard Friends, Feet-uring Mathematics, Greedy Pig, Highest Number, Land of ET, Number charts, Rectangle Fractions, Rod Mats, Row Points, Tackling Times Tables, Truth Tiles, Truth Tiles 2, Win at the Fair Units of work (FUSE or Scootle) Patterns and sequences Multiplying and dividing with arrays Exploring division and multiplication 21 2011 Version 2 CEO Ballarat Level 5 GP 7 decimals and fractions Sine Tasks GP 6 CURRICULUM AT WORK TASKS Top Table Three Digit Throw I Went Shopping and I Bought … Race to the Edge Heads High, Tails Low THE FOUR PROCESSES IN CONTEXT: Pen and paper methods CONSTRUCT STATEMENTS OF EQUALITY: Number problems PLACE VALUE: Project—Spend a million dollars MENTAL COMPUTATION STRATEGIES: Efficient strategies Computation and applying number UNITS OF WORK Hands-on ICT Teaching Guidelines in Number Round off and estimate p173 Learning Objects (FUSE or Scootle) Teach whole numbers for understanding 27 Distributive laws (Do it to both) 34 Divide by one digit 35 Roun & estimate division RIME 5&6 Words add up Numeracy games (cards or dice) Mental calculation strategies - addition and subtraction (Collection) Interactive Learning Whole number operations, 10 quick questions (Whole numbers) Units of work (FUSE or Scootle) School canteen Building numeracy (George Booker) Addition and subtraction screening tests A and B and interventions People count 11 Place value, distributive law and multiplication Working Mathematically: Investigations 14: Sizes of the planets, Unit 17: Packaged holidays Maths 300 lessons 4-Cube Houses, Counting Machines, Dice Footy. Domino Trails, Dominoes, Farmyard Friends, Feet-uring Mathematics, Greedy Pig, Highest Number, Land of ET, Rectangle Fractions, Rod Mats, Row Points, Tackling Times Tables, Truth Tiles, Truth Tiles 2, Win at the Fair, Famous Mathematicians. Fractions to decimals on a rope, What’s It Worth? 22 2011 Version 2 CEO Ballarat Level 6 GP 7 decimals and fractions Hands-on ICT Teaching Numeracy games (cards or dice) particularly Got it! Integers Learning Objects (FUSE or Scootle) Wishball, Decimaster, Exploring order of operations, Integer cruncher Mental calculation strategies - addition and subtraction (Collection) Interactive Learning Order of operations, Biggest number, Missing numbers, Whole number operations, 10 quick questions (Whole numbers) Walk to add or subtract, Add integers http://illuminations.nctm.org/Activities.aspx http://nlvm.usu.edu/en/nav/vlibrary.html Teach whole numbers and integers for understanding 27 Distributive laws (Do it to both) 37 Models of integers Developmental Continuum 3.25 Order of operations Activity 1: Can the answers be different? Activity 2: Do brackets help? Activity 3: Got it! Activity 4: Fewest buttons Building numeracy (George Booker) Addition and subtraction screening tests A and B and interventions People count 10 Order of operations 30 Integers and subtraction Whole-class investigations Maths300 4-Cube Houses, Counting Machines, Dice Footy, Domino Trails, Dominoes, Farmyard Friends, Feet-uring Mathematics, Greedy Pig, Highest Number, Land of ET, Rectangle Fractions, Rod Mats, Row Points, Tackling Times Tables, Truth Tiles, Truth Tiles 2, Win at the Fair, Famous Mathematicians, Fractions to decimals on a rope, What’s It Worth? Walk The Plank, Protons & Antiprotons Units of work (FUSE or Scootle) School canteen CURRICULUM AT WORK TASKS THE FOUR PROCESSES IN CONTEXT: Pen and paper methods CONSTRUCT STATEMENTS OF EQUALITY: Number problems PLACE VALUE: Project—Spend a million dollars MENTAL COMPUTATION STRATEGIES: Efficient strategies Computation and applying number UNITS OF WORK 23 2011 Version 2 CEO Ballarat